Finding the Fourth Proportional to 2,178.77, 3,006.74 and 1,294.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.77 : 3,006.74 = 1,294.56 : x
2. Step 2: Convert to fraction form
   2,178.77/3,006.74 = 1,294.56/x
3. Step 3: Cross multiply
   2,178.77x = 3,006.74 × 1,294.56
4. Step 4: Simplify right side
   2,178.77x = 3,892,398.86
5. Step 5: Solve for x
   x = 3,892,398.86/2,178.77
6. Step 6: Final answer
   x = 1,786.52